OpenAI does this for all API calls

> Our systems will smartly ignore any reasoning items that aren’t relevant to your functions, and only retain those in context that are relevant. You can pass reasoning items from previous responses either using the previous_response_id parameter, or by manually passing in all the output items from a past response into the input of a new one.

https://developers.openai.com/api/docs/guides/reasoning

Disclosure - work on AI@msft